A Geometric Investigation of the Invariant Algebraic Curves in Two Dimensional Lotka–Volterra Systems
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DOI: 10.1007/s11786-017-0311-7
Abstract: The aim of this work is to investigate the geometric behaviour of the invariant algebraic curves in two dimensional Lotka–Volterra systems, first classified by Moulin-Ollagnier. read more here.
Keywords: lotka volterra; two dimensional; curves two; algebraic curves ... See more keywords
Integrability and Linearizability Problems of Three Dimensional Lotka–Volterra Equations of Rank-2
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DOI: 10.1007/s12346-019-00329-5
Abstract: AbstractThis paper deals with both integrability and linearizability problems of three dimensional Lotka–Volterra systems at the origin with rank-2. We give necessary conditions of a system with quadratic nonlinearities with $$(1:3:-\,1)$$(1:3:-1)-resonance. We proved the sufficiency… read more here.
Keywords: three dimensional; integrability linearizability; problems three; linearizability problems ... See more keywords